I would like to address the title itself - how to benefit from wider distribution/usage/awareness of your research.
First, congratulations on your PhD - and your job!
I think it is very reasonable to want to get more benefit - financial or otherwise - for your work, so I hope I can suggest some ways you can make that happen.
For your dissertation, I believe your full compensation will be considered already paid. You were on staff when you made it, and from the wording I assume your employer let you spend "company time" on your work without threatening your pay or position. They also allowed you access and data that would likely have been unavailable to other researchers, and the quality of the data was likely high enough that you would have had to pay a significant sum of money for access to it - unless they have an open-data initiative, which almost no one seems to have in private industry (or at least its very rare). So your employer will almost certainly consider you paid in full, and consider any extra request ungrateful at best.
However, you are in a very good position - not only has the company employed and supported your work for years, but they are now expressing their opinion of your research and the value of it in a very positive way. They are saying its worth additional investment of time and money not just from you, but from other people as well.
Therefore, your potential is in the future work - not your past products. That's the only reason companies employ people anyway - for work to be produced, not out of gratitude for past accomplishments.
Now you are already the subject matter expert, so what would you like? Would you like to do some travel, presentation work, advocacy? How about more ambitious research which could be of even higher value to the company? Can a reasonable case be made for more generous expense accounts, a (larger) research budget, more latitude/authority in data collection or process improvement/alteration?
If nothing else you are in a good position for salary negotiations in the coming year, as you are now officially a PhD, and if they want to embrace and use your research then presumably they have a high opinion of you with good performance evaluations. If you want an administrative role, assistant(s), etc, now would be a good time to start brainstorming and dialog with your employer to see what plans they have for you, or if you just want to do more research you should all be on the same page.
If you want to just focus on your research and go back to work, that's fine too! If you will be doing post-doc work and therefore aren't simply done with school entirely, that's fine, but if you are done and it is implied that you'll be focusing/working with the company more then that is more support for increased pay going forward.
So you can very well get an extra payoff for your accomplishments, but its not likely to be in the form of paying to use your dissertation. You might qualify for a bonus, but that is usually something discussed before the fact. Its also possible that their use of your dissertation is a minor issue to them, so don't think it's worth millions if they are just trying to make use of something they feel they already paid for in a minor campaign that's <1% of their ad/PR budget.
TL;DR Collect your data, have a bullet-proof case of your value now and increasing value in the future, and I really suggest you not focus on trying to get more pay for past performance but rather take your pay in future salary/bonuses/prestige/etc.